The dispersion of a data set refers to the form or shape of the distribution
Also known as measures of spread.
If items are widely dispersed then the averages do not provide a clear summary of the distribution.
In a symmetrical distribution the mean, median and mode all have the same value (or are extremely close).
You can see from the following diagrams that the mean alone is not a good statistic to use when describing a distribution.
It is possible to obtain a better impression of a distribution by measuring the dispersion (or spread) of the values.
Combining the standard deviation with the mean gives a concise and useful description of a distribution.
A measure of dispersion can show whether or not the values in a distribution are clustered closely together or well spread out.
Coefficient Of Variation
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